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Finding the Fourth Proportional to 65,138.60, 97,688.70 and 25,682.60

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Solution

The fourth proportional to 65,138.60, 97,688.70 and 25,682.60 is: 38,516.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,138.60 : 97,688.70 = 25,682.60 : x
  2. Step 2: Convert to fraction form
    65,138.60/97,688.70 = 25,682.60/x
  3. Step 3: Cross multiply
    65,138.60x = 97,688.70 × 25,682.60
  4. Step 4: Simplify right side
    65,138.60x = 2,508,899,806.62
  5. Step 5: Solve for x
    x = 2,508,899,806.62/65,138.60
  6. Step 6: Final answer
    x = 38,516.33

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.